An appraisal reduction realises no loss. It cuts the servicer's interest advances and can move control of the trust, which is why junior bondholders watch it more closely than the loss itself.
The appraisal reduction amount is what the borrower owes, balance plus unpaid interest plus unreimbursed advances, less 90 per cent of the new appraised value, net of any liens senior to the loan, and any reserves held. On an illustrative $80.0M loan reappraised at $75.0M, that is $81.6M less $68.0M, an ARA of $13.6M. The servicer then advances interest on $66.4M instead of $80.0M, a $680,000 annual shortfall, and control of the trust passes up a class before a dollar of loss is realised.
Worked in full in Real Estate Finance by Julian R. Sterling, with every figure reproduced in a free workbook.See the book on Amazon →
A conduit loan has defaulted and passed to the special servicer. An appraisal reduction event has occurred, typically sixty days of delinquency or a modification, so a new appraisal is ordered. The formula below follows the common form in conduit pooling and servicing agreements; each deal's definition should be read for its own add-backs. All figures are illustrative.
| Input | Value |
|---|---|
| Loan balance | $80.0M |
| Coupon | 5.00% |
| Accrued and unpaid interest | $1.20M |
| Unreimbursed servicing advances (taxes, insurance) | $0.40M |
| Reserves and escrows held | $0.50M |
| Liens senior to the mortgage (e.g. unpaid real estate taxes) | none |
| New appraised value | $75.0M |
| Appraisal haircut in the formula | 90% |
Amounts owed = balance + unpaid interest + unreimbursed advances = 80.0 + 1.20 + 0.40 = $81.60M
Credit for the collateral = 90% × appraised value − senior liens + reserves = 67.50 − 0 + 0.50 = $68.00M
ARA = MAX(amounts owed − credit, 0) = $13.60M
Excel: =MAX(Bal+UnpaidInt+Adv-(0.9*Appraisal-SeniorLiens+Reserves),0)
The reduction is 17.0 per cent of the balance, against an appraisal that puts the loan at a 106.7 per cent LTV. The 90 per cent factor is a proxy for the costs of liquidation; the add-backs make sure that what is owed, not just the principal, is measured against it. Any lien that ranks ahead of the mortgage, such as unpaid taxes or a ground rent, is deducted from the 90 per cent figure because the trust would have to pay it before it saw any proceeds; many agreements also add interest on advances and due but unpaid taxes and insurance to the amounts owed.
Two things change on the next distribution date, and neither is a loss.
First, the servicer's interest advance is cut in proportion. It advances interest on the balance net of the ARA, $66.4M, so 83.0 per cent of the coupon: $3.32M a year instead of $4.00M. The $680,000 shortfall, $56,667 a month, is taken from the bottom of the interest waterfall.
| Class | Balance | Coupon | Interest due | Shortfall | Interest paid |
|---|---|---|---|---|---|
| G | $10.0M | 6.00% | 600,000 | 600,000 | 0 |
| F | $15.0M | 5.50% | 825,000 | 80,000 | 745,000 |
| E | $20.0M | 5.00% | 1,000,000 | 0 | 1,000,000 |
| Total | 680,000 |
Second, control moves. The ARA is applied notionally against the certificate balances, bottom up, for voting purposes. In the common structure the controlling class is the most junior class whose balance net of reductions is at least 25 per cent of its original balance. Class G, $10.0M, is written down to nothing; class F, $15.0M, is written down to $11.4M, 76 per cent of its original, and becomes the controlling class. The party that directs the special servicer is now a different investor, with different incentives on whether to extend or liquidate.
Sold at the appraisal less 5 per cent of costs, $71.25M, the loan would realise a loss of about $9.85M after reserves. The reduction already applied, $13.6M, is larger than that loss: the 90 per cent haircut and the add-backs are conservative by design.
The reduction is linear in the appraisal, but it starts well above the loan balance. With $1.60M of unpaid interest and advances and $0.50M of reserves, any appraisal below $90.11M, an LTV of 88.8 per cent, produces a reduction.
| Appraisal | LTV | 90% of appraisal | ARA | Annual interest shortfall | Controlling class |
|---|---|---|---|---|---|
| $95.0M | 84.2% | $85.50M | $0.00M | 0 | G |
| $90.0M | 88.9% | $81.00M | $0.10M | 5,000 | G |
| $85.0M | 94.1% | $76.50M | $4.60M | 230,000 | G |
| $80.0M | 100.0% | $72.00M | $9.10M | 455,000 | F |
| $75.0M | 106.7% | $67.50M | $13.60M | 680,000 | F |
| $70.0M | 114.3% | $63.00M | $18.10M | 905,000 | F |
Class G loses control once the ARA exceeds $7.50M, 75 per cent of its balance, which happens at any appraisal below $81.78M: still above the loan balance. A junior holder can therefore lose control of a workout on an appraisal that shows the loan fully covered, which is why controlling-class holders commission their own valuations and why appraisal timing is negotiated so hard.
The usual error is to compute the ARA as balance minus appraisal, which gives $5.0M here and misses $8.6M of the reduction: the haircut on the appraisal, the unpaid interest and the advances. The second is to treat the ARA as a loss forecast. It is a mechanism for limiting advances and allocating control; the eventual loss depends on the resolution, and realised severity often differs from appraisal-based severity, as why realised loss severity exceeds appraisal severity sets out. In a CRE CLO the equivalent pressure on the junior notes comes through the coverage tests instead, covered in how the overcollateralisation test is calculated.
The tape, the tranches, the waterfall and the appraisal reduction with its controlling class are live in the free workbooks for the book's pool.
Yes. The test uses 90 per cent of the appraisal and adds unpaid interest and advances to the balance. On an $80.0M loan with $1.6M of unpaid interest and advances and $0.5M of reserves, any appraisal below $90.11M produces a reduction. At $85.0M, an LTV of 94.1 per cent, the ARA is already $4.60M.
The reduction is notionally applied to the certificate balances from the bottom up. A class whose balance net of reductions falls below 25 per cent of its original balance loses control to the next class up. In this case a $13.6M ARA writes class G down to nothing and class F, at $11.4M of $15.0M, takes control.
No. It reduces the interest the servicer advances and the voting balance of the junior classes, but nothing is written off until the loan is resolved. Sold at the $75.0M appraisal less 5 per cent of costs, this loan would realise about $9.85M of loss, less than the $13.6M reduction already applied.
This article is one calculation from Real Estate Finance. The book takes the same case from first principles to the decision, chapter by chapter, and every figure it prints is a live formula in the free companion workbooks.
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